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LCM of 316, 754, 116, 243, 962

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 316, 754, 116, 243, 962 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 316, 754, 116, 243, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,754,116,243,962

Given numbers are 316,754,116,243,962

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 316,754,116,243,962 is 1071115812.

Find LCM of 316,754,116,243,962 with Prime Factorization


2 316, 754, 116, 243, 962
2 158, 377, 58, 243, 481
13 79, 377, 29, 243, 481
29 79, 29, 29, 243, 37
79, 1, 1, 243, 37

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 13 x 29 x 79 x 1 x 1 x 243 x 37 = 1071115812

Therefore, the lowest common multiple of 316,754,116,243,962 is 1071115812.

LCM Formula to Find Lowest Common Multiple of 316,754,116,243,962

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

316 x 754 x 116 x 243 x 962 = 6460970577984

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

316 : 1, 2, 4, 79, 158, 316

754 : 1, 2, 13, 26, 29, 58, 377, 754

116 : 1, 2, 4, 29, 58, 116

243 : 1, 3, 9, 27, 81, 243

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,754,116,243,962, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

754:2x 13x 29

116:2x 2x 29

243:3x 3x 3x 3x 3

962:2x 13x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 13x 29 = 6032

Therefore, the value for common factors is 6032.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6460970577984/(1x6032)

LCM = 6460970577984/6032

LCM = 1071115812

Thus, we can understand that the LCM of 316,754,116,243,962 is 1071115812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 754, 116, 243, 962

1. What is the LCM of 316, 754, 116, 243, 962?

Answer: LCM of 316, 754, 116, 243, 962 is 1071115812.

2. How to calculate the LCM of 316, 754, 116, 243, 962?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 316, 754, 116, 243, 962.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.